Finite Group Databasebeta

← D61×#2063 #29708541

Subgroups — D61×#2063 #29708541

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#108×D61C211yesmaximal, characteristic, complemented
2#428×D61C211yesmaximal, characteristic, complemented
3#424×D61C211yesmaximal, characteristic, complemented
4#418×D61C211yesmaximal, characteristic
5C2×#102×D61C211yesmaximal, characteristic
6C2×#100×D61C211yesmaximal, characteristic
7#21447180C211yesmaximal, characteristic, complemented
8#21447179C211yesmaximal, characteristic, complemented
9#21447178C211yesmaximal, characteristic, complemented
10#21447177C211yesmaximal, characteristic, complemented
11#21447176C211yesmaximal, characteristic, complemented
12#21447175C211yesmaximal, characteristic, complemented
13#21447174C211yesmaximal, characteristic, complemented
14#343×D61C211yesmaximal, characteristic, complemented
15C61×#2063C211yesmaximal, characteristic, complemented
16C22×D4×D61C2211yescharacteristic
17C2×M16×D61C2211yescharacteristic
18C2×M16×D61C2211yescharacteristic
19C2×M16×D61C2211yescharacteristic
20C22×C8×D61C2211yescharacteristic
21#117×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×#14519713C2211yescharacteristic, complemented
24C2×#14519712C2211yescharacteristic, complemented
25C2×#14519712C2211yescharacteristic, complemented
26#108×D61—24no—
27#16839805C2211yescharacteristic, complemented
28#16839804C2211yescharacteristic, complemented
29#16839803—21no—
30#16839802C2211yescharacteristic, complemented
31#16839801—21no—
32#107×D61—21no—
33#106×D61—21no—
34#16839790C2211yescharacteristic, complemented
35#16839789C2211yescharacteristic, complemented
36#16839788C2211yescharacteristic, complemented
37#16839787—22no—
38C4⋊C8×D61—22no—
39#16839768C2211yescharacteristic
40#16839767C2211yescharacteristic
41#16839766C2211yescharacteristic
42#16839765—21no—
43#16839765—21no—
44C2×#14519699C2211yescharacteristic
45C2×#14519698C2211yescharacteristic
46C2×#14519697C2211yescharacteristic
47#102×D61—22no—
48#102×D61—22no—
49#102×D61—21no—
50#102×D61—21no—
51C2×#14519694C2211yescharacteristic
52C2×#14519693C2211yescharacteristic
53C2×#14519693C2211yescharacteristic
54#100×D61—24no—
55#16839531C2211yescharacteristic, complemented
56#16839530C2211yescharacteristic, complemented
57#16839530C2211yescharacteristic, complemented
58C2×#108×C61C2211yescharacteristic, complemented
59C61×#428C2211yescharacteristic, complemented
60C61×#424C2211yescharacteristic, complemented
61C61×#418C2211yescharacteristic
62C2×#102×C61C2211yescharacteristic
63C2×#100×C61C2211yescharacteristic
64C61×#343C2211yescharacteristic, complemented
65C24×D61—21no—
66C22×D244C2311yescharacteristic
67C22×C22⋊D61—21no—
68C2×D4×D61—21no—
69C2×D4×D61—21no—
70C2×D4×D61—21no—
71C2×D4×D61—21no—
72C2×D4×D61—22no—
73C2×D4×D61—22no—
74C2×D4×D61—22no—
75C2×D4×D61Q814yes—
76C22×C4×D61—21no—
77C22×C4×D61C2311yescharacteristic
78C2×#11758194C2311yescharacteristic
79C2×#11758194C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C2×#11758189—21no—
82C2×#11758189—21no—
83C2×#11758189—21no—
84M16×D61—22no—
85M16×D61—22no—
86M16×D61—22no—
87M16×D61—22no—
88M16×D61—22no—
89M16×D61D414yes—
90C22×#92418C2311yescharacteristic
91C2×C8×D61—22no—
92C2×C8×D61—21no—
93C2×C8×D61—22no—
94C2×C8×D61—21no—
95C2×C8×D61—21no—
96C2×C8×D61D412yes—
97C2×C8×D61D412yes—
98#14519736C2311yescharacteristic
99#14519735D411yescharacteristic
100#14519735D411yescharacteristic
101#14519734—21no—
102#14519733—21no—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×#11758196—21no—
105C4⋊C4×D61—21no—
106C4⋊C4×D61—21no—
107C4⋊C4×D61—21no—
108C4⋊C4×D61—21no—
109C4⋊C4×D61D411yescharacteristic
110C4⋊C4×D61D411yescharacteristic
111C22⋊C4×D61—21no—
112C42×D61—21no—
113#14519713—22no—
114#14519712—22no—
115#14519712—22no—
116#14519711—21no—
117#14519710—21no—
118#14519710—21no—
119#14519709—21no—
120#14519708—21no—
121#14519708—21no—
122C4⋊#92418—22no—
123#14519706—22no—
124#14519706—22no—
125#14519699—22no—
126#14519699—21no—
127#14519699—21no—
128#14519698—21no—
129#14519698—21no—
130#14519698—22no—
131#14519697—21no—
132#14519697—21no—
133#14519697—22no—
134#14519694—22no—
135#14519693—22no—
136#14519693—22no—
137C22×D4×C61C2311yescharacteristic
138C2×M16×C61C2311yescharacteristic
139C2×M16×C61C2311yescharacteristic
140C2×M16×C61C2311yescharacteristic
141C22×C8×C61C2311yescharacteristic
142#117×C61C2311yescharacteristic
143C2×C4⋊C4×C61C2311yescharacteristic
144#108×C61—22no—
145#107×C61—21no—
146#106×C61—21no—
147C4⋊C8×C61—22no—
148#102×C61—22no—
149#102×C61—21no—
150#102×C61—21no—
151#100×C61—22no—
152C24×C61—21no—
153C23×D61—21no—
154C23×D61—24no—
155C23×D61—41no—
156C23×D61—41no—
157C23×D61—42no—
158C23×D61—82no—
159C23×D61—82no—
160C23×D61#4111yescharacteristic
161C2×D4×C61—21no—
162C2×D4×C61—21no—
163C2×D4×C61—21no—
164C2×D4×C61—21no—
165C2×D4×C61—21no—
166C2×D4×C61C2×Q812yes—
167C22×C4×C61—21no—
168C22×C4×C61C2411yescharacteristic
169C2×C22⋊D61—24no—
170C2×C22⋊D61—41no—
171C2×C22⋊D61—41no—
172C2×C22⋊D61—42no—
173C22×Dic61—21no—
174C22×Dic61#4111yescharacteristic
175D4×D61—24no—
176D4×D61—24no—
177D4×D61—24no—
178D4×D61—24no—
179D4×D61—42no—
180D4×D61—42no—
181D4×D61—42no—
182D4×D61—42no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244C2×Q812yes—
189C2×C4×D61—21no—
190C2×C4×D61—21no—
191C2×C4×D61—41no—
192C2×C4×D61—41no—
193C2×C4×D61—82no—
194C2×C4×D61C2×D412yes—
195C2×C4×D61C2×D411yescharacteristic
196C2×C4×D61C2×D411yescharacteristic
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×Q812yes—
200C2×C4×D61#4112yes—
201C2×C4×D61#4112yes—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—21no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61C2×D412yes—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61C2×D412yes—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61C2×D411yescharacteristic
217C4⋊C4×C61C2×D411yescharacteristic
218C22⋊C4×C61—21no—
219C42×C61—21no—
220C22⋊Dic61—21no—
221#11758198—21no—
222#11758198—21no—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61C2×D411yescharacteristic
226C4⋊Dic61C2×D411yescharacteristic
227#11758196—21no—
228#11758196—21no—
229#11758196—41no—
230#11758196—41no—
231C4×Dic61—21no—
232C4×Dic61—21no—
233C4×Dic61—21no—
234#11758194—21no—
235#11758194—21no—
236#11758194—21no—
237#11758194—21no—
238#11758194—21no—
239#11758194C2×D412yes—
240C2×#92418—21no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—21no—
244C2×#92418—21no—
245C2×#92418C2×D412yes—
246#11758189—24no—
247#11758189—42no—
248#11758189—42no—
249C8×D61—24no—
250C8×D61—24no—
251C8×D61—24no—
252C8×D61—42no—
253C8×D61—42no—
254C23×C61—22no—
255C23×C61—41no—
256C23×C61—41no—
257C23×C61—81no—
258C23×C61—81no—
259C23×C61C2×#4111yescharacteristic
260C22×D61—22no—
261C22×D61—22no—
262C22×D61—22no—
263C22×D61—41no—
264C22×D61—41no—
265C22×D61—44no—
266C22×D61—44no—
267C22×D61—82no—
268C22×D61—82no—
269C22×D61—88no—
270C22×D61—88no—
271C22×D61—82no—
272C22×D61—82no—
273C22×D61—81no—
274C22×D61—81no—
275C22×D61#12111yescharacteristic
276C22×D61#12111yescharacteristic
277C22×D61C22⋊Q812yes—
278C22×D61#12612yes—
279D4×C61—22no—
280D4×C61—22no—
281D4×C61—41no—
282D4×C61—41no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—41no—
286C2×C4×C61—81no—
287C2×C4×C61C22×D411yescharacteristic
288C2×C4×C61C22×D411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×Q811yescharacteristic
291C2×C4×C61C2×#4111yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C22⋊D61—44no—
294C22⋊D61—44no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—41no—
298C2×Dic61—81no—
299C2×Dic61#12111yescharacteristic
300C2×Dic61#12111yescharacteristic
301C2×Dic61C22⋊Q812yes—
302C2×Dic61#12612yes—
303D244—22no—
304D244—22no—
305D244—41no—
306D244—41no—
307C4×D61—42no—
308C4×D61—42no—
309C4×D61—82no—
310C4×D61—82no—
311C4×D61#12112yes—
312C4×D61#12112yes—
313C4×D61#12112yes—
314C4×D61#12112yes—
315C4×D61C22⋊Q812yes—
316C4×D61C22⋊Q812yes—
317C4×D61C22⋊Q812yes—
318C4×D61C22⋊Q812yes—
319C8×C61—22no—
320C8×C61—22no—
321C8×C61—41no—
322C8×C61—41no—
323#92418—22no—
324#92418—22no—
325#92418—41no—
326#92418—41no—
327C2×#2063—611nomaximal, Sylow
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—42no—
331C22×C61—82no—
332C22×C61—82no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61C2×#12111yescharacteristic
336C22×C61C2×C22⋊Q811yescharacteristic
337C22×C61C2×#12611yescharacteristic
338C2×D61—21no—
339C2×D61—21no—
340C2×D61—24no—
341C2×D61—24no—
342C2×D61—42no—
343C2×D61—88no—
344C2×D61—82no—
345C2×D61—81no—
346C2×D61—81no—
347C2×D61—88no—
348C2×D61—82no—
349C2×D61#39612yes—
350C2×D61#39612yes—
351C2×D61#47112yes—
352C2×D61#47212yes—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61—81no—
356C4×C61C2×#12111yescharacteristic
357C4×C61C2×#12111yescharacteristic
358C4×C61C2×C22⋊Q811yescharacteristic
359C4×C61C2×C22⋊Q811yescharacteristic
360Dic61—41no—
361Dic61—41no—
362Dic61—81no—
363Dic61#39612yes—
364Dic61#39612yes—
365C22×#108—611no—
366C2×#428—611no—
367C2×#424—611no—
368C2×#418—611no—
369C22×#102—611no—
370C22×#100—611no—
371#2063—611no—
372#2063—611no—
373#2063—611no—
374#2063—611no—
375#2063—611no—
376#2063—611no—
377#2063—611no—
378#2063D6111yescharacteristic, direct product factor
379C2×#343—611no—
380C2×C61—21no—
381C2×C61—21no—
382C2×C61—82no—
383C2×C61C2×#39611yescharacteristic
384C2×C61C2×#47111yescharacteristic
385C2×C61C2×#47211yescharacteristic
386D61—22no—
387D61—82no—
388D61#206314yesdirect product factor
389C23×D4—611no—
390C22×M16—611no—
391C22×M16—611no—
392C22×M16—611no—
393C23×C8—611no—
394C2×#117—611no—
395C22×C4⋊C4—611no—
396C2×#108—611no—
397C2×#108—611no—
398C2×#108—611no—
399C2×#108—1224no—
400C2×#108C2×D6111yescharacteristic, complemented
401#428—611no—
402#428—611no—
403#428—611no—
404#428—1221no—
405#428—1221no—
406#428C2×D6111yescharacteristic, complemented
407C2×#107—1221no—
408C2×#106—1221no—
409#424—611no—
410#424—611no—
411#424—611no—
412#424—1222no—
413#424C2×D6111yescharacteristic, complemented
414C2×C4⋊C8—1222no—
415#418—611no—
416#418—611no—
417#418—611no—
418#418—1221no—
419#418—1221no—
420#418C2×D6111yescharacteristic
421C2×#102—611no—
422C2×#102—611no—
423C2×#102—611no—
424C2×#102—1221no—
425C2×#102—1221no—
426C2×#102—1222no—
427C2×#102—1222no—
428C2×#102C2×D6111yescharacteristic
429C2×#100—611no—
430C2×#100—611no—
431C2×#100—611no—
432C2×#100—1224no—
433C2×#100C2×D6111yescharacteristic
434#343—611no—
435#343—611no—
436#343—611no—
437#343C2×D6111yescharacteristic, complemented
438C61C2×#206311yescharacteristic, complemented, Sylow
439C25—1221no—
440C22×D4—614no—
441C22×D4—611no—
442C22×D4—1222no—
443C22×D4—1222no—
444C22×D4—1221no—
445C22×D4—1221no—
446C22×D4—1221no—
447C22×D4—1221no—
448C22×D4—1222no—
449C22×D4—1221no—
450C22×D4C22×D6111yescharacteristic
451C23×C4—611no—
452C23×C4—1221no—
453C2×M16—611no—
454C2×M16—614no—
455C2×M16—611no—
456C2×M16—611no—
457C2×M16—1221no—
458C2×M16—1221no—
459C2×M16—1221no—
460C2×M16—1222no—
461C2×M16—1222no—
462C2×M16—1222no—
463C2×M16—1222no—
464C2×M16—1222no—
465C2×M16C22×D6111yescharacteristic
466C2×M16C22×D6111yescharacteristic
467C2×M16C22×D6111yescharacteristic
468C22×C8—611no—
469C22×C8—612no—
470C22×C8—612no—
471C22×C8—1222no—
472C22×C8—1222no—
473C22×C8—1221no—
474C22×C8—1221no—
475C22×C8—1221no—
476C22×C8C22×D6111yescharacteristic
477#117—611no—
478#117—611no—
479#117—611no—
480#117—1221no—
481#117—1221no—
482#117C22×D6111yescharacteristic
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—1221no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4—1221no—
489C2×C4⋊C4—1221no—
490C2×C4⋊C4—1221no—
491C2×C4⋊C4C22×D6111yescharacteristic
492C2×C22⋊C4—1221no—
493C2×C42—1221no—
494#108—22no—
495#108—1222no—
496#108—1222no—
497#108—1222no—
498#107—21no—
499#107—1221no—
500#107—1221no—
501#107—1221no—
502#106—21no—
503#106—1221no—
504#106—1221no—
505#106—1221no—
506C4⋊C8—22no—
507C4⋊C8—1222no—
508C4⋊C8—1222no—
509C4⋊C8—1222no—
510#102—22no—
511#102—21no—
512#102—21no—
513#102—1222no—
514#102—1221no—
515#102—1221no—
516#102—1221no—
517#102—1221no—
518#102—1222no—
519#102—1222no—
520#102—1221no—
521#102—1221no—
522#100—22no—
523#100—1222no—
524#100—1222no—
525#100—1222no—
526C24—21no—
527C24—611no—
528C24—1224no—
529C24—1221no—
530C24—4882no—
531C24—4882no—
532C24—2441no—
533C24—2441no—
534C24—2442no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—612no—
541C2×D4—1224no—
542C2×D4—1224no—
543C2×D4—1224no—
544C2×D4—1224no—
545C2×D4—1224no—
546C2×D4—1221no—
547C2×D4—1221no—
548C2×D4—1221no—
549C2×D4—1221no—
550C2×D4—1221no—
551C2×D4—2442no—
552C2×D4—2442no—
553C2×D4—2442no—
554C2×D4—2442no—
555C2×D4—2441no—
556C2×D4—2441no—
557C2×D4—2442no—
558C2×D4Q8×D6112yes—
559C22×C4—21no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—612no—
566C22×C4—612no—
567C22×C4—612no—
568C22×C4—612no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4—4882no—
573C22×C4—2441no—
574C22×C4—2441no—
575C22×C4C23×D6111yescharacteristic
576M16—21no—
577M16—21no—
578M16—21no—
579M16—21no—
580M16—21no—
581M16—612no—
582M16—1224no—
583M16—1221no—
584M16—1221no—
585M16—1221no—
586M16—1221no—
587M16—1221no—
588M16—2442no—
589M16—2442no—
590M16D4×D6112yes—
591C2×C8—21no—
592C2×C8—21no—
593C2×C8—21no—
594C2×C8—21no—
595C2×C8—21no—
596C2×C8—612no—
597C2×C8—1224no—
598C2×C8—1224no—
599C2×C8—1224no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—2442no—
606C2×C8—2442no—
607C2×C8D4×D6112yes—
608C4⋊C4—21no—
609C4⋊C4—21no—
610C4⋊C4—611no—
611C4⋊C4—611no—
612C4⋊C4—1221no—
613C4⋊C4—1221no—
614C4⋊C4—1221no—
615C4⋊C4—1221no—
616C4⋊C4—2441no—
617C4⋊C4—2441no—
618C4⋊C4D4×D6111yescharacteristic
619C4⋊C4D4×D6111yescharacteristic
620C22⋊C4—21no—
621C22⋊C4—1221no—
622C22⋊C4—1221no—
623C22⋊C4—1221no—
624C42—21no—
625C42—1221no—
626C42—1221no—
627C42—1221no—
628C23—22no—
629C23—41no—
630C23—41no—
631C23—81no—
632C23—81no—
633C23—611no—
634C23—611no—
635C23—612no—
636C23—612no—
637C23—1222no—
638C23—1222no—
639C23—1222no—
640C23—4881no—
641C23—4881no—
642C23—4882no—
643C23—4882no—
644C23—4888no—
645C23—4888no—
646C23—4882no—
647C23—4882no—
648C23—2444no—
649C23—2444no—
650C23—2441no—
651C23—2441no—
652C23#41×D6111yescharacteristic
653D4—22no—
654D4—22no—
655D4—41no—
656D4—41no—
657D4—1222no—
658D4—1222no—
659D4—2444no—
660D4—2444no—
661D4—2441no—
662D4—2441no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—41no—
666C2×C4—81no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—612no—
670C2×C4—612no—
671C2×C4—612no—
672C2×C4—612no—
673C2×C4—612no—
674C2×C4—612no—
675C2×C4—612no—
676C2×C4—612no—
677C2×C4—612no—
678C2×C4—612no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—4882no—
682C2×C4—4882no—
683C2×C4—4881no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4—2441no—
687C2×C4C2×D4×D6111yescharacteristic
688C2×C4C2×D4×D6111yescharacteristic
689C2×C4C2×D4×D6111yescharacteristic
690C2×C4C2×Q8×D6111yescharacteristic
691C2×C4#41×D6111yescharacteristic
692C2×C4#41×D6111yescharacteristic
693C8—22no—
694C8—22no—
695C8—41no—
696C8—41no—
697C8—1222no—
698C8—1222no—
699C8—2441no—
700C8—2441no—
701C22—21no—
702C22—21no—
703C22—42no—
704C22—82no—
705C22—82no—
706C22—81no—
707C22—81no—
708C22—612no—
709C22—612no—
710C22—612no—
711C22—612no—
712C22—1224no—
713C22—1224no—
714C22—1221no—
715C22—1221no—
716C22—4882no—
717C22—4882no—
718C22—4888no—
719C22—4888no—
720C22—4881no—
721C22—4881no—
722C22—2442no—
723C22#121×D6111yescharacteristic
724C22C22⋊Q8×D6111yescharacteristic
725C22#126×D6111yescharacteristic
726C4—41no—
727C4—41no—
728C4—81no—
729C4—612no—
730C4—612no—
731C4—4881no—
732C4—2441no—
733C4—2441no—
734C4#121×D6111yescharacteristic
735C4#121×D6111yescharacteristic
736C4C22⋊Q8×D6111yescharacteristic
737C4C22⋊Q8×D6111yescharacteristic
738C2—21no—
739C2—21no—
740C2—82no—
741C2—614no—
742C2—1222no—
743C2—4882no—
744C2#396×D6111yescharacteristic
745C2#471×D6111yescharacteristic
746C2#472×D6111yescharacteristic
subgroupG/H
centerC22#121×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2063C2
socleC22×C61C2×#121
prime radicalC22×D4×D61C22
hypercenter#2063D61
hypocenterC61C2×#2063
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2063

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#108×D61C2semidirect
2. #428×D61C2semidirect
3. #424×D61C2semidirect
7. #21447180C2semidirect
8. #21447179C2semidirect
9. #21447178C2semidirect
10. #21447177C2semidirect
11. #21447176C2semidirect
12. #21447175C2semidirect
13. #21447174C2semidirect
14. #343×D61C2semidirect
15. C61×#2063C2semidirect
23. C2×#14519713C22semidirect
24. C2×#14519712C22semidirect
25. C2×#14519712C22semidirect
27. #16839805C22semidirect
28. #16839804C22semidirect
30. #16839802C22semidirect
34. #16839790C22semidirect
35. #16839789C22semidirect
36. #16839788C22semidirect
55. #16839531C22semidirect
56. #16839530C22semidirect
57. #16839530C22semidirect
58. C2×#108×C61C22semidirect
59. C61×#428C22semidirect
60. C61×#424C22semidirect
64. C61×#343C22semidirect
378. #2063D61direct (N × H)
388. D61#2063direct (N × H)
400. C2×#108C2×D61semidirect
406. #428C2×D61semidirect
413. #424C2×D61semidirect
437. #343C2×D61semidirect
438. C61C2×#2063semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#108×D612
#428×D612
#424×D612
#418×D612
C2×#102×D612
C2×#100×D612
#214471802
#214471792
#214471782
#214471772
#214471762
#214471752
#214471742
#343×D612
C61×#20632
C2×#206361